Asymptotic Behavior of Second-Order Impulsive Partial Stochastic Functional Neutral Integrodifferential Equations with Infinite Delay

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dc.contributor.authorYan, Zuomao
dc.contributor.authorJia, Xiumei
dc.date.accessioned2022-05-17T15:16:47Z
dc.date.available2022-05-17T15:16:47Z
dc.date.issued2017
dc.description.abstractIn this paper, the existence and asymptotic stability in p-th moment of mild solutions to a class of second-order impulsive partial stochastic functional neutral integrodifferential equations with infinite delay in Hilbert spaces is considered. By using Hölder’s inequality, stochastic analysis, fixed point strategy and the theory of strongly continuous cosine families with the Hausdor measure of noncompactness, a new set of sufficient conditions is formulated which guarantees the asymptotic behavior of the nonlinear second-order stochastic system. These conditions do not require the the nonlinear terms are assumed to be Lipschitz continuous. An example is also discussed to illustrate the efficiency of the obtained results.en_US
dc.description.sponsorshipWorld Banken_US
dc.identifier.citationYan, Z., Jia, X. (2017) Asymptotic Behavior of Second-Order Impulsive Partial Stochastic Functional Neutral Integrodifferential Equations with Infinite Delay. Filomat, Vol. 31, No. 9, pp. 2727-2748. https://www.jstor.org/stable/26195005en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1446
dc.language.isoenen_US
dc.publisherUniversity of Nis, Faculty of Sciences and Mathematicsen_US
dc.relation.ispartofserieshttps://www.jstor.org/stable/26195005;22
dc.subjectasymptotic stabilityen_US
dc.subjectp-th momenten_US
dc.titleAsymptotic Behavior of Second-Order Impulsive Partial Stochastic Functional Neutral Integrodifferential Equations with Infinite Delayen_US
dc.typeArticleen_US
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